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Finding the Third Proportional to 7,502.63 and 17,308.69

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Solution

The third proportional to 7,502.63 and 17,308.69 is: 39,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.63 : 17,308.69 = 17,308.69 : x
  2. Step 2: Convert to fraction form
    7,502.63/17,308.69 = 17,308.69/x
  3. Step 3: Cross multiply
    7,502.63x = 17,308.69 × 17,308.69
  4. Step 4: Simplify right side
    7,502.63x = 299,590,662.97
  5. Step 5: Solve for x
    x = 299,590,662.97/7,502.63
  6. Step 6: Final answer
    x = 39,931.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.